The Laser Assisted Direct Write (LADW) method can be used to generate electrical circuitry on a substrate by depositing metallic ink and curing the ink thermally by a laser. Laser curing has emerged over recent years as a novel yet efficient alternative to oven curing. This method can be used in-situ, over complicated 3D contours of large parts (eg. aircraft wings) and selectively cure over heat sensitive substrates, with little or no thermal damage. In previous studies, empirical methods have been used to generate processing windows for this technique, relating to the several interdependent processing parameters on which the curing quality and efficiency strongly depend. Incorrect parameters can result a track that is cured in some areas and uncured in others, or in damaged substrates. This thesis addresses the strong need for a quantitative model which can systematically output the processing conditions for a given combination of ink, substrate and laser source; transforming the LADW technique from a purely empirical approach, to a simple, repeatable, mathematically sound, efficient and predictable process. This thesis describes in detail a novel and generic Finite Element Method (FEM) model that for the first time predicts the evolution of the thermal profile of the ink track during laser curing and thus generates a parametric map which indicates the most suitable combination of parameters for process optimisation. Experimental data is compared with simulation results to verify the accuracy of the model. This study also theoretically and experimentally investigates the curing process under different intensity profiles obtained with the SunShaper, a novel beam shaping device invented by Dr Wellburn, and thus predicts the performance of curing with various circular shaped beams.